Browse Articles

A model for angle evolution in conical piles formed using the fixed funnel method

Capaldi et al. | Jul 20, 2026

A model for angle evolution in conical piles formed using the fixed funnel method

When granular materials are poured onto a surface, they form conical piles whose slopes increase before reaching a stable angle of repose. We found that this angle evolution follows a previously unrecognized two-phase exponential growth pattern that is conserved across granular materials with diverse particle properties. The parameters of this model correlate with particle friction and are influenced by deposition conditions, providing a quantitative framework for describing pile formation.

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The impact of greenhouse gases, regions, and sectors on future temperature anomaly with the FaIR model

Kosaraju et al. | Jul 29, 2024

The impact of greenhouse gases, regions, and sectors on future temperature anomaly with the FaIR model

This study explores how different economic sectors, geographic regions, and greenhouse gas types might affect future global mean surface temperature (GMST) anomalies differently from historical patterns. Using the Finite Amplitude Impulse Response (FaIR) model and four Shared Socioeconomic Pathways (SSPs) — SSP126, SSP245, SSP370, and SSP585 — the research reveals that future contributions to GMST anomalies.

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Mathematical modeling of plant community composition for urban greenery plans

Fang et al. | Jul 05, 2023

Mathematical modeling of plant community composition for urban greenery plans
Image credit: CHUTTERSNAP

Here recognizing the importance of urban green space for the health of humans and other organisms, the authors investigated if mathematical modeling can be used to develop an urban greenery management plan with high eco-sustainability by calculating the composition of a plant community. They optimized and tested their model against green fields in a Beijing city park. Although the compositions predicted by their models differed somewhat from the composition of testing fields, they conclude that by using a mathematical model such as this urban green space can be finely designed to be ecologically and economically sustainable.

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Homology modeling of clinically-relevant rilpivirine-resistant HIV-RT variants identifies novel rilpivirine analogs with retained binding affinity against NNRTI-resistant HIV mutations

Luk et al. | Jan 24, 2022

Homology modeling of clinically-relevant rilpivirine-resistant HIV-RT variants identifies novel rilpivirine analogs with retained binding affinity against NNRTI-resistant HIV mutations

Human immunodeficiency virus (HIV), which affects tens of millions of individuals worldwide, can lead to acquired immunodeficiency syndrome (AIDS). While there is currently no cure for HIV, the development of small molecule antiretroviral agents has greatly improved the prognosis of infected individuals, especially in developed countries. Here, the authors employ homology modeling and molecular docking towards the identification of novel rilpivirine analogs that retain high binding affinity to clinically relevant rilpivirine-resistant mutations of the HIV reverse transcriptase enzyme.

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Training and comparison of fine-tuned small language models as math tutoring assistants

Maheshwari et al. | Nov 11, 2026

Training and comparison of fine-tuned small language models as math tutoring assistants
Image credit: Josh Sorenson

Here the authors evaluateE various configurations of Llama 3.2 models (ranging from 1B to 8B parameters trained across 1 to 5 epochs) to serve as cost-effective math tutoring assistants for K-12 classrooms. Their findings show that while the largest 8B model trained for 5 epochs achieved peak accuracy, smaller fine-tuned models provide a viable, resource-efficient balance for practical educational deployment.

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Testing the Impact of a Geometric Curvature Variable on the Accuracy of Econometric Forecasting Models

Punatar et al. | Jul 26, 2026

Testing the Impact of a Geometric Curvature Variable on the Accuracy of Econometric Forecasting Models

Classical financial forecasting models often fail to capture the complex, nonlinear dynamics of the stock market. This study demonstrates that incorporating a single variable to represent the 'geometric curvature' of a time series dramatically improves the accuracy of standard econometric forecasts. Our findings highlight that geometric properties are a significant predictive factor, opening new avenues for more powerful financial modeling.

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